Simplifying coefficients in differential equations for generating function of Catalan numbers

被引：10
|
作者：
Qi, Feng [1 ,2 ,3 ]
Yao, Yong-Hong [3 ]
机构：
[1] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China
[3] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2019年 / 13卷 / 01期
关键词：
Simplifying; coefficient; nonlinear ordinary differential equation; generating function; Catalan number; Faa di Bruno formula; Bell polynomial of the second kind; inversion theorem; BELL POLYNOMIALS; SPECIAL VALUES; FAMILY; FORMULAS;
D O I：
10.1080/16583655.2019.1663782
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In the paper, by the Faa di Bruno formula, several identities for the Bell polynomials of the second kind, and an inversion theorem, the authors simplify coefficients in two families of nonlinear ordinary differential equations for the generating function of the Catalan numbers.
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页码：947 / 950
页数：4
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